[Dolphinsiu]

A proton is accelerated to one-tenth the velocity of light, and this velocity can be measured with a precision of 1%. What is the uncertainty in the position of this proton?(speed of light = 2.998x10^8m/s;mass of proton = 1.673x10^-27kg;Planck's constant = 6.626x10^-34Js)

I only know that E = hf = hc/?  = mc^2
                                          h  = mc?
                       6.626 x 10^-34 = (1.673 x 10^-27) x (2.998 x 10^8) ?

Is ? ((wavelength) means the position of proton? How to find uncertainty?Thank you

[Yggdrasil]

Use the uncertainty principle.

[Dolphinsiu]

Thanks a lot!
By uncertainty principle,

?x?p ? h/4pi
?x(m?v) ? h/4pi
?x (1.673x10^-27) (2.998x10^7 x 1%) ? 6.626x10^-34/4pi

Is it correct?